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Simplifying 7 + -1k = -4(1 + 2n) 7 + -1k = (1 * -4 + 2n * -4) 7 + -1k = (-4 + -8n) Solving 7 + -1k = -4 + -8n Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1k = -4 + -7 + -8n Combine like terms: 7 + -7 = 0 0 + -1k = -4 + -7 + -8n -1k = -4 + -7 + -8n Combine like terms: -4 + -7 = -11 -1k = -11 + -8n Divide each side by '-1'. k = 11 + 8n Simplifying k = 11 + 8n
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